i will give a medal
Find the value for x that makes the equation 1.5x+6=3(2.5x-6) true. plzz show me how to do this
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OpenStudy (anonymous):
Firstly, we need to expand the brackets on the right. Can you do that for me?
OpenStudy (anonymous):
1.5x+6=3x-15 @tom982
OpenStudy (anonymous):
Not quite.
\[3(2.5x-6)=3*2.5x-3*6\]
Do you see why it's wrong?
OpenStudy (anonymous):
ohhhh distributive property?
OpenStudy (anonymous):
@tom982
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OpenStudy (anonymous):
Yep :)
OpenStudy (anonymous):
1.5x + 6 = 7.5x - 18 (we multiply the values inside the brackets)
6 + 18 = 7.5x - 1.5x (we transfer the 18 on the other side and 1.5x on the one)
24 = 6x (sum up both numbers)
4 = x (divide)
This should help :)
OpenStudy (anonymous):
ooops wrong thing
OpenStudy (anonymous):
i wrote it wrong
OpenStudy (anonymous):
First u need to expand the bracket.
second shif all the x to the left hand side.
Then divide both sides.
\[1.5x+6=3(2.5x-6)\]
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OpenStudy (anonymous):
\[1.5x+6=7.5x-18\]
OpenStudy (anonymous):
\[1.5x-7.5x=-18-6\]
OpenStudy (anonymous):
\[-6x=-24\]
OpenStudy (anonymous):
Then divide -6 on both sides.
OpenStudy (anonymous):
\[\frac{ -6 }{ -6 }x=\frac{ -24 }{ -6 }\]
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OpenStudy (anonymous):
\[x=?\]solve it @tarap0123
OpenStudy (anonymous):
4 right?
OpenStudy (anonymous):
@MARC_
OpenStudy (anonymous):
great
OpenStudy (anonymous):
thank you soooo much @MARC_
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